Finding the Third Proportional to 36,804 and 80,012

Step by Step Solution

1. Step 1: Write the proportion equation
   36,804 : 80,012 = 80,012 : x
2. Step 2: Convert to fraction form
   36,804/80,012 = 80,012/x
3. Step 3: Cross multiply
   36,804x = 80,012 × 80,012
4. Step 4: Simplify right side
   36,804x = 6,401,920,144
5. Step 5: Solve for x
   x = 6,401,920,144/36,804
6. Step 6: Final answer
   x = 173,946.31